The sum, work , and In simplest form.
1 answer:
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Answer: 1.960
Step-by-step explanation:
The value of z we use to calculate a confidence interval with a () confidence level is a two-tailed test value i.e. represented by :-
Given : The level of confidence:
Then, significance level :
With the help of standard normal distribution table for z , we have
Hence, the value of z should be used to calculate a confidence interval with a 95% confidence level =1.960
Answer:
The 95% confidence interval obtained with a sample size of 64 will give greater precision.
Step-by-step explanation:
We are given the following in the question:
A 95% confidence interval is calculated with the following sample sizes
The population mean and standard deviation are unknown.
Effect of sample size on confidence interval:
- As the sample size increases the margin of error decreases.
- As the margin of error decreases the width of the confidence level decreases.
- Thus, with increased sample size the width of confidence level decreases.
If we want a confidence interval with greater precision that is smaller width, we have to choose the higher sample size.
Thus, the 95% confidence interval obtained with a sample size of 64 will give greater precision.